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Finding the Third Proportional to 403,812,024,075 and 872,099,054,613

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Solution

The third proportional to 403,812,024,075 and 872,099,054,613 is: 1,883,442,581,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,075 : 872,099,054,613 = 872,099,054,613 : x
  2. Step 2: Convert to fraction form
    403,812,024,075/872,099,054,613 = 872,099,054,613/x
  3. Step 3: Cross multiply
    403,812,024,075x = 872,099,054,613 × 872,099,054,613
  4. Step 4: Simplify right side
    403,812,024,075x = 760,556,761,056,888,414,535,680
  5. Step 5: Solve for x
    x = 760,556,761,056,888,414,535,680/403,812,024,075
  6. Step 6: Final answer
    x = 1,883,442,581,481.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.